Answer: Jorge has 62 marbles.
Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.
We are to find the number of marbles that Jorge has.
Let x and y represents the number of marbles that Jalme and Jorge has respectively.
Then, according to the given information, we have
and
Thus, Jorge has 62 marbles.
Answer: 3 hours and 18 minutes.
Step-by-step explanation:
Answer:
18i, -7-i, -6+18i
Step-by-step explanation:
1. √-324
first take out the negative as √-1=i
√-324= i√324
324 =2*162
324=2*2*81
324=2*2*9*9
i√324=i√2*2*9*9= i* 2*9= 18i
3.
-4+7i-3-8i combine like terms
-4-3 -8i+7i = -7-i
5.
(1+5i)(4-2i) distribute
1*4 -1*2i +5i*4 -5i*(-2i) multiply
4 -2i +20i +10i² but i²= -1 so
4 -2i +20i -10 combine like terms
-6 +18i
U.S. Manufactured General Aviation Shipments, 2009–2015
Year Qtr 1 Qtr 2 Qtr 3 Qtr 4 Total
2009 310 408 390 477 1,585
2010 243 377 281 433 1,334
2011 268 289 286 480 1,323
2012 305 358 339 514 1,516
2013 329 413 353 520 1,615
2014 345 380 379 527 1,631
2015 296 374 378 544 1,592
Click here for the Excel Data File
(a) Plot the data on airplane shipments.
Plot A Plot B Plot C Plot D
multiple choice 1
Plot A
Plot B
Plot C
Plot D
(b) Can you see seasonal patterns?
multiple choice 2
Yes
No
(c) Use MegaStat or Minitab to calculate estimated seasonal indexes and trend. (Round your answers to 3 decimal places.)
Qtr1
Index Qtr2
Index Qtr3
Index Qtr4
Index
(d) In which quarters are shipments highest? Lowest? (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)
Highest
check all that apply 1
Q1
Q2
Q3
Q4
Lowest
check all that apply 2
Q1
Q2
Q3
Q4
(e) Is there a trend in the deseasonalized data?
There is a slight
(Click to select)
trend in the deseasonalized data.
Answer:
(3x^2+6x)/(x^2-16)
Step-by-step explanation:
When multiplying fractions you just go straight accross
this means that our fraction is equal to
((x+2)(3x))/((x-4)(x+4))
The numerator is quite easy 3x(x+2)=3x^2+6x
The second one is a little tough at first and if you need help I would reccomend using khan academy
but pretty much you get x^2-16
put them together and get your answer
